if alpha and beta are zeroes of polynomial x2-4x+1.find the value of beta +1/beta Share with your friends Share 0 Shruti Tyagi answered this Dear student, The given polynomial be p(x)=x2-4x+1Also, given that α and β are zeroes of polynomial Sum of zeroes, α+β=-coefficient of xcoefficient of x2=-(-4)1=4⇒α+β=4 ...(1)Product of zeroes=α×β=constant termcoefficient of x2=11=1⇒αβ=1 ⇒α=1β ...(2)putting the value of α=1β in (1)⇒1β+β=4 thus, the value of β+1β is 4 Regards 0 View Full Answer
